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Finding the Fourth Proportional to 685,654, 945,888.51 and 444,014.40

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Solution

The fourth proportional to 685,654, 945,888.51 and 444,014.40 is: 612,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,654 : 945,888.51 = 444,014.40 : x
  2. Step 2: Convert to fraction form
    685,654/945,888.51 = 444,014.40/x
  3. Step 3: Cross multiply
    685,654x = 945,888.51 × 444,014.40
  4. Step 4: Simplify right side
    685,654x = 419,988,119,234.54
  5. Step 5: Solve for x
    x = 419,988,119,234.54/685,654
  6. Step 6: Final answer
    x = 612,536.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.